ODE No. 1342

\[ y''(x)=-\frac {a y(x)}{x^4} \]

✓ Mathematica : cpu = 0.0182933 (sec), leaf count = 52

DSolve[Derivative[2][y][x] == -((a*y[x])/x^4),y[x],x]

\[\left \{\left \{y(x)\to c_1 x e^{\frac {i \sqrt {a}}{x}}-\frac {i c_2 x e^{-\frac {i \sqrt {a}}{x}}}{2 \sqrt {a}}\right \}\right \}\]

✓ Maple : cpu = 0.04 (sec), leaf count = 31

dsolve(diff(diff(y(x),x),x) = -a/x^4*y(x),y(x))

\[y \left (x \right ) = x \left (\cosh \left (\frac {\sqrt {-a}}{x}\right ) c_{2} +\sinh \left (\frac {\sqrt {-a}}{x}\right ) c_{1} \right )\]